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Finding the Third Proportional to 547,081 and 1,137,649

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Solution

The third proportional to 547,081 and 1,137,649 is: 2,365,728.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,081 : 1,137,649 = 1,137,649 : x
  2. Step 2: Convert to fraction form
    547,081/1,137,649 = 1,137,649/x
  3. Step 3: Cross multiply
    547,081x = 1,137,649 × 1,137,649
  4. Step 4: Simplify right side
    547,081x = 1,294,245,247,201
  5. Step 5: Solve for x
    x = 1,294,245,247,201/547,081
  6. Step 6: Final answer
    x = 2,365,728.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.